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etermine if the given order\\begin{cases}3x + 7y = 12\\\\6x - y = -4\\e…

Question

etermine if the given order\

$$\begin{cases}3x + 7y = 12\\\\6x - y = -4\\end{cases}$$

\\((-3, 3)\\)

Explanation:

Step1: Substitute into first equation

Substitute $x=-3$, $y=3$ into $3x+7y=12$:
$3(-3) + 7(3) = -9 + 21 = 12$

Step2: Substitute into second equation

Substitute $x=-3$, $y=3$ into $6x-y=-4$:
$6(-3) - 3 = -18 - 3 = -21$

Step3: Check equality

First equation holds, second does not.

Answer:

The ordered pair $(-3, 3)$ is not a solution to the system of equations.